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A number of epidemics, including the SARS-CoV-1 epidemic of 2002-2004, have been known to exhibit superspreading, in which a small fraction of infected individuals is responsible for the majority of new infections. The existence of…

Populations and Evolution · Quantitative Biology 2021-03-31 Calvin Pozderac , Brian Skinner

Widespread opinions and discussion exist regarding the efficiency of social distancing after crucial spread of the SARS-CoV-2 virus during the actual Covid-19 pandemic. While Germany has released a federal law that prohibits any type of…

Populations and Evolution · Quantitative Biology 2020-03-26 Franz-Josef Schmitt

The current survey paper concerns stochastic mathematical models for the spread of infectious diseases. It starts with the simplest setting of a homogeneous population in which a transmittable disease spreads during a short outbreak.…

Applications · Statistics 2018-01-30 Tom Britton

We study the statistical properties of the SIR epidemics in heterogeneous networks, when an epidemic is defined as only those SIR propagations that reach or exceed a minimum size s_c. Using percolation theory to calculate the average…

Populations and Evolution · Quantitative Biology 2009-11-13 C. Lagorio , M. V. Migueles , L. A. Braunstein , E. López , P. A. Macri

Facing a global epidemic of new infectious diseases such as COVID-19, non-pharmaceutical interventions (NPIs), which reduce transmission rates without medical actions, are being implemented around the world to mitigate spreads. One of the…

Populations and Evolution · Quantitative Biology 2021-03-04 Naoya Fujiwara , Tomokatsu Onaga , Takayuki Wada , Shouhei Takeuchi , Junji Seto , Tomoki Nakaya , Kazuyuki Aihara

In individual SARS-CoV-2 outbreaks, the count of confirmed cases and deaths follow a Gompertz growth function for locations of very different sizes. This lack of dependence on region size leads us to hypothesize that virus spread depends on…

Populations and Evolution · Quantitative Biology 2022-01-03 Francesco Zonta , Andrea Scaiewicz , Michael Levitt

Causal inference across multiple data sources offers a promising avenue to enhance the generalizability and replicability of scientific findings. However, data integration methods for time-to-event outcomes, common in biomedical research,…

Methodology · Statistics 2025-05-16 Yi Liu , Alexander W. Levis , Ke Zhu , Shu Yang , Peter B. Gilbert , Larry Han

We develop a Bayesian inference framework to quantify uncertainties in epidemiological models. We use SEIJR and SIJR models involving populations of susceptible, exposed, infective, diagnosed, dead and recovered individuals to infer from…

Populations and Evolution · Quantitative Biology 2022-03-08 A. Carpio , E. Pierret

This contribution analyzes the COVID-19 outbreak by comparably simple mathematical and numerical methods. The final goal is to predict the peak of the epidemic outbreak per country with a reliable technique. This is done by an algorithm…

Physics and Society · Physics 2020-05-15 Robert Schaback

Why are the epidemic patterns of COVID-19 so different among different cities or countries which are similar in their populations, medical infrastructures, and people's behavior? Why are forecasts or predictions made by so-called experts…

Populations and Evolution · Quantitative Biology 2020-06-03 Hisashi Kobayashi

As of November 2020, the number of COVID-19 cases is increasing rapidly in many countries. In Europe, the virus spread slowed considerably in the late spring due to strict lockdown, but a second wave of the pandemic grew throughout the…

Quantitative Methods · Quantitative Biology 2020-11-25 Kristoffer Rypdal , Filippo Maria Bianchi , Martin Rypdal

Understanding the impact of different social interactions is key to improving epidemic models. Here, we use extensive registry data -- including PCR test results and population-level networks -- to investigate the impact of school, family,…

Social and Information Networks · Computer Science 2025-01-08 Javier Garcia-Bernardo , Christine Hedde-von Westernhagen , Tom Emery , Albert Jan van Hoek

We used Bayesian model inversion to estimate epidemic parameters from the reported case and death rates from seven countries using data from late January 2020 to April 5th 2020. Two distinct generative model types were employed: first a…

First Few X (FFX) studies collect household-stratified data in the early stages of a pandemic, in order to infer severity and transmissibility of an emerging disease. We present a Bayesian method to approximately infer population-level…

Populations and Evolution · Quantitative Biology 2021-11-22 P. G. Ballard , A. J. Black , J. V. Ross

Tracking Twitter for public health has shown great potential. However, most recent work has been focused on correlating Twitter messages to influenza rates, a disease that exhibits a marked seasonal pattern. In the presence of sudden…

Social and Information Networks · Computer Science 2012-03-08 Ernesto Diaz-Aviles , Avaré Stewart , Edward Velasco , Kerstin Denecke , Wolfgang Nejdl

Public health policy makers are faced with making crucial decisions rapidly during infectious disease outbreaks such as that caused by SARS-CoV-2. Ideally, rapidly deployed representative health surveys could provide needed data for such…

Applications · Statistics 2023-06-16 Yan Li , Laura Yee , Sally Hunsberger , Matthew J. Memoli , Kaitlyn Sadtler , Barry I. Graubard

We propose an SIR epidemic model coupled with opinion dynamics to study an epidemic and opinions spreading in a network of communities. Our model couples networked SIR epidemic dynamics with opinions towards the severity of the epidemic,…

Systems and Control · Electrical Eng. & Systems 2025-06-23 Baike She , Humphrey C. H. Leung , Shreyas Sundaram , Philip E. Paré

Stochastic compartmental models are important tools for understanding the course of infectious diseases epidemics in populations and in prospective evaluation of intervention policies. However, calculating the likelihood for discretely…

Computation · Statistics 2018-07-26 Lam Si Tung Ho , Forrest W. Crawford , Marc A. Suchard

Many countries have established population-based biobanks, which are being used increasingly in epidemiolgical and clinical research. These biobanks offer opportunities for large-scale studies addressing questions beyond the scope of…

Methodology · Statistics 2024-03-28 Malka Gorfine , David M. Zucker , Shoval Shoham

Recent epidemiological data report that worldwide more than 53 million people have been infected by SARS-CoV-2, resulting in 1.3 million deaths. The disease has been spreading very rapidly and few months after the identification of the…

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